Question

2) If the sum of the ages of the father and sons is 100.if 5 years ago the fathers age was5
times the sons age the then find their present ages.(give answer in detail and correct i will give you brainist mark)​

Answer 1

Step-by-step explanation:

Let the present age of son be x

And, Present age of father be y

Given, Sum of ages of father and son is 100

⇢ x + y = 100.....(i)

Five years ago:-

Age of son = x - 5

Age of father = y - 5

5 years ago, the father was 5 times as old as his son

⇢ y - 5 = 5(x - 5)

⇢ y - 5 = 5x - 25

⇢ y - 5x = -25 + 5

⇢ y - 5x = -20.......(ii)

Subtract equation (ii) from (i)

⇢ x + y - (y - 5x) = 100 - (-20)

⇢ x + y - y + 5x = 100 + 20

⇢ 6x = 120

⇢ x = $\dfrac{120}{6}$ = 20

Substitute x = 20 in equation (i)

⇢ x + y = 100

⇢ 20 + y = 100

⇢ y = 100 - 20 = 80

Therefore:-

⇝ Present age of son = 20 years

⇝ Present age of father = 80 years

Answer 2

$\large\underline \bold \green{ \rm \: ♛ ợuestion ♛}$

2) If the sum of the ages of the father and sons is 100.if 5 years ago the fathers age was5

2) If the sum of the ages of the father and sons is 100.if 5 years ago the fathers age was5times the sons age the then find their present ages.(give answer in detail and correct i will give you brainist mark)

$\large\underline \bold \red{ \rm \: ANSWER}$

Let the present age of son be x

And, Present age of father be y

Given, Sum of ages of father and son is 100

⇢ x + y = 100.....(i)

Five years ago:-

Age of son = x - 5

Age of father = y - 5

5 years ago, the father was 5 times as old as his son

$⇢ y - 5 = 5(x - 5)$

$⇢ y - 5 = 5x - 25$

$⇢ y - 5x = -25 + 5$

$⇢ y - 5x = -20.......(ii)$

Subtract equation (ii) from (i)

$⇢ x + y - (y - 5x) = 100 - (-20)$

$⇢ x + y - y + 5x = 100 + 20$

$⇢ 6x = 120$

$⇢ x = \dfrac{120}{6}$

$6 \\ </p><p>120</p><p> \\ </p><p> = 20</p><p>$

Substitute x = 20 in equation (i)

$⇢ x + y = 100</p><p> \\ </p><p>⇢ 20 + y = 100</p><p> \\ </p><p>⇢ y = 100 - 20 = 80</p><p>$

Therefore:-

$\large \underline \bold \red{ \rm \: present \: age \: of \: son = 20 years }$

$\large \underline \bold \red{ \rm \: Present \: age \: of \: father \: = 80 years}$